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Beliebt Rechnen >

y^{'''}-7y^{''}-8y^'+16y=0

Lösung

y^{^{'''}} - 7 y^{^{''}} - 8 y^{^{'}} + 16 y = 0

Lösung

y = c_{1} e^{1.10308 \dots t} + c_{2} e^{- 1.86799 \dots t} + c_{3} e^{7.76490 \dots t}

Schritte zur Lösung

y^{'''} (t) - 7 y^{''} (t) - 8 y^{'} (t) + 16 y = 0

Solve linear ODE:

y = c_{1} e^{1.10308 \dots t} + c_{2} e^{- 1.86799 \dots t} + c_{3} e^{7.76490 \dots t}

y = c_{1} e^{1.10308 \dots t} + c_{2} e^{- 1.86799 \dots t} + c_{3} e^{7.76490 \dots t}

Graph

Beliebte Beispiele

y^{^{''}} + y + y^{^{'}} = 0

y^{''}-12y^'+36y=0,y(0)=3,y^'(0)= 39/2

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (0) = 3, y^{^{'}} (0) = \frac{39}{2}

y^{''}+18y^'+80y=0,y(0)=9,y^'(0)=-76

y^{^{''}} + 18 y^{^{'}} + 80 y = 0, y (0) = 9, y^{^{'}} (0) = - 76

(D^{3} - 3 D) y = 0

(d-5d^2+4d-20)x=0

(d - 5 d^{2} + 4 d - 20) x = 0